3(x-2)+4(x-5)=10

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Solution for 3(x-2)+4(x-5)=10 equation: 


Simplifying
3(x + -2) + 4(x + -5) = 10

Reorder the terms:
3(-2 + x) + 4(x + -5) = 10
(-2 * 3 + x * 3) + 4(x + -5) = 10
(-6 + 3x) + 4(x + -5) = 10

Reorder the terms:
-6 + 3x + 4(-5 + x) = 10
-6 + 3x + (-5 * 4 + x * 4) = 10
-6 + 3x + (-20 + 4x) = 10

Reorder the terms:
-6 + -20 + 3x + 4x = 10

Combine like terms: -6 + -20 = -26
-26 + 3x + 4x = 10

Combine like terms: 3x + 4x = 7x
-26 + 7x = 10

Solving
-26 + 7x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '26' to each side of the equation.
-26 + 26 + 7x = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 7x = 10 + 26
7x = 10 + 26

Combine like terms: 10 + 26 = 36
7x = 36

Divide each side by '7'.
x = 5.142857143

Simplifying
x = 5.142857143

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